54585537552 has 640 divisors, whose sum is σ = 203506974720. Its totient is φ = 13621063680.

The previous prime is 54585537527. The next prime is 54585537553. The reversal of 54585537552 is 25573558545.

54585537552 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 55 + 37 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54585537553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57277108 + ... + 57278060.

It is an arithmetic number, because the mean of its divisors is an integer number (317979648).

Almost surely, 2^54585537552 is an apocalyptic number.

54585537552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54585537552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101753487360).

54585537552 is an abundant number, since it is smaller than the sum of its proper divisors (148921437168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54585537552 is a wasteful number, since it uses less digits than its factorization.

54585537552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its digits is 21000000, while the sum is 54.

The spelling of 54585537552 in words is "fifty-four billion, five hundred eighty-five million, five hundred thirty-seven thousand, five hundred fifty-two".